Transchromatic generalized character maps

Stapleton, Nathaniel¹

¹Department of Mathematics, Massachusetts Institute of Technology, 2-233, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA

Algebraic and Geometric Topology, Tome 13 (2013) no. 1, pp. 171-203

Résumé

The generalized character map of Hopkins, Kuhn, and Ravenel [J. Amer. Math. Soc. 13 (2000) 553–594] can be interpreted as a map of cohomology theories beginning with a height n cohomology theory E and landing in a height 0 cohomology theory with a rational algebra of coefficients that is constructed out of E. We use the language of p–divisible groups to construct extensions of the generalized character map for Morava E–theory to every height between 0 and n.

Détail

DOI : 10.2140/agt.2013.13.171

Classification : 55N20, 55N91
Keywords: Morava $E$–theory, generalized character theory, HKR

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